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Statistical function

PERMUTATIONA

Returns the number of permutations with repetitions allowed.

Rarely usedDifficulty 1350 · AdvancedUsage rank #329 of 520
Practice · 2 questions →

When to use it

Permutations with repetition: n^k. Ordered sequences where any item can repeat, like PINs and passwords.

The shape of it

Syntax
=PERMUTATIONA(number, number_chosen)

Worked examples

  • Small case

    =PERMUTATIONA(3,2) 9

    Two-letter strings from three letters, repeats allowed.

  • PIN codes

    =PERMUTATIONA(10,4) 10000

    Four-digit PINs.

  • Letter codes

    =PERMUTATIONA(26,3) 17576

    Three-letter codes.

Worth knowing

  • Same as POWER(n,k).
  • PERMUT is the no-repeat version.
  • Non-integers are truncated.

Where it goes wrong

  • #NUM! for negative arguments.
  • Overflows quickly for large k.

Related

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